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Finding the Fourth Proportional to 3,945.49, 5,914.06 and 1,722.37

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Solution

The fourth proportional to 3,945.49, 5,914.06 and 1,722.37 is: 2,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.49 : 5,914.06 = 1,722.37 : x
  2. Step 2: Convert to fraction form
    3,945.49/5,914.06 = 1,722.37/x
  3. Step 3: Cross multiply
    3,945.49x = 5,914.06 × 1,722.37
  4. Step 4: Simplify right side
    3,945.49x = 10,186,191.52
  5. Step 5: Solve for x
    x = 10,186,191.52/3,945.49
  6. Step 6: Final answer
    x = 2,581.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.